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Mathematics > Classical Analysis and ODEs

Title: Bilinear oscillatory Fourier multipliers

Authors: Tomoya Kato, Akihiko Miyachi, Naoto Shida, Naohito Tomita
(Submitted on 16 Apr 2024)
Abstract: For bilinear Fourier multipliers that contain some oscillatory factors, boundedness of the operators between Lebesgue spaces is given including endpoint cases. Sharpness of the result is also considered.
Comments: 27 pages, 1 figure
Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)
MSC classes: 42B15, 42B20
Cite as: arXiv:2404.10488 [math.CA]
  (or arXiv:2404.10488v1 [math.CA] for this version)

Submission history

From: Naoto Shida [view email]
[v1] Tue, 16 Apr 2024 11:54:43 GMT (26kb)
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